The New Sudoku Players' Forum

by **m_b_metcalf** » Sun Apr 05, 2020 9:16 am

creint wrote:My solver solved all except these 62:

One assumes that these are the hardest. I ran your file through SE, and here are the highest ratings for each ER found:

Code: Select all: .................12...3........4.52..6........17..8...............8.............7 32 ED=8.3/1.2/1.2 .................12.....3.......2....4.......3..5......6.............7...1..8...4 31 ED=9.0/1.5/1.5 ................1..2..........3..4.5.6........7..6....3.....8..........2..8...... 46 ED=9.1/1.2/1.2 .................12.......3...........4.567..........83.......28............9.... 29 ED=9.2/2.3/2.3 ...............1..2.3.4............5...1.6...........7....3.4......8.....6....... 56 ED=9.3/2.9/2.9 .................12.3.4............5...6........2....7....3.4......8.....6....... 34 ED=9.4/2.9/2.9 .............1.....2...3.4............5.6.7......8.....4.....2.......5..7........ 61 ED=9.5/2.9/2.9 ....................1..23......4......3...1......5......6.....45..78............. 6 ED=9.6/3.4/2.9 ....................1.2.3..............4.5.67..........6.....745............8.... 12 ED=9.7/2.3/2.3 ................1.23...4............5.6.7.8............4......2............71.... 54 ED=9.8/2.9/2.9 ..................12.....34..............3.42..5........6.7.8..........1......... 16 ED=9.9/9.9/2.9 ....................1..23......4......3...1......5...65..................7..8..4. 7 ED=10.0/ 4.3/ 2.9 ................1.2....3....4........1..5..4..................67.....3.2....8.... 50 ED=10.1/ 2.9/ 2.9 .................1....2.3..14...........5....67.........2...8.......6......4..... 20 ED=10.3/10.3/ 2.9 ....................1.2.3........4.....5.6..7....8....65.....8.....3............. 14 ED=10.4/ 1.5/ 1.5 .................1.2.............34.1.5........6.........5......3........7..8...5 25 ED=10.6/ 1.2/ 1.2

Except for 29, they all have only eight distinct digits.

by **Leren** » Fri Jan 21, 2022 7:42 pm

FWIW the list of 12 Clue Sudoku X puzzles is now 552,950. You can get a copy of the list by using the following file access link.

Copy the part of the link between the " " symbols and paste it into the URL box of a new tab in your browser and the file should download.

"http://gpenet.pagesperso-orange.fr/downloads/SudokuX12.xlsx"

Leren

by **Ruud from Sudocue** » Sat Jan 22, 2022 9:21 am

Thanks for posting the list.

While my own collection had already grown to 35107, it turns out that it only contains 2 new entries to your list:

Code: Select all: 000000000000000001230000000000004000005000000000600050000000720007000000001080000 000000000000001000002000034000005000000000200060000000340000000000007500008000000

I've also switched to the canonicalization method everyone else is using, no longer separating clue positions and values.

Ruud

by **Leren** » Sun Dec 10, 2023 4:38 am

Further work by myself and ton has raised the number of known 12 Clue Sudoku X puzzles to 558,389.

Leren

by **Leren** » Sun Nov 24, 2024 4:46 am

Further work by myself and ton this year has raised the number of known 12 Clue Sudoku X puzzles to 558,981.

Leren

by **m_b_metcalf** » Sun Nov 24, 2024 9:25 am

Brilliant!

Mike

by **m_b_metcalf** » Sun Nov 24, 2024 9:35 pm

Leren wrote:Whilst Mathimagics has not found an 11 clue puzzle yet, the following 11 clueset
Code: Select all
......78............9.........................1.5.........4.....3....5.1....98...

has just 2 ESX solutions

Leren,
Can you tell whether this is an isomorph of your pseudo-puzzle above?

Code: Select all: .......................1..2.1................3..4...........54.......3...67..2...

It also has 2 solutions.

Thanks,

Mike

by **Leren** » Mon Nov 25, 2024 5:21 am

Hi Mike,

Here are the minlex forms of the two 11 clue cluesets.

Code: Select all: ................1...2..3...4........15............6...........4..6.....7..3...... .......................1..2.1................3..4...........54.......3...67..2...

I call 11 clue cluesets with just two solutions "Almosts" and I've found 67 of them here.

Hidden Text: Show

Code: Select all: ..........................1........2....3..4....5.....12...........4.56..7....... ........................1..............2....3...4.....23..5........6.41.......7.. .......................1..2.1................3..4...........54.......3...67..2... .......................1..223.4............5........6...6..5.7..................3 ......................1...2......3........45...1.26.............3.4.............7 ....................1.....2.....................3...4..5..12.......6....7.....43. ....................1.....2........1........34..5............6.......4...72...5.. ....................1.....2......3......3.14.5................5...6.2..7......... ....................1.....2...2.....3.....4.......4..........5...6..1...7......3. ....................1...2..............345.........6..57......3....6...........7. ....................1...2.............3...4......56...57..........2..8...6....... ....................1...2........3.4...5.6........7...76.....5.....3............. ....................1..23......4............5....6....47............1.2..6....... ....................1..23.....45.......6.............74......6......3........7... ....................1.2...3............4........5.........3.........6...78....45. ....................1.2..34.....56.............3..........4..........5..6.....7.. ....................1.2.3...............4.2...5........6.....57....1.....7....... ....................1.2.3........1...4.5...........6.........47..6.............5. ...................1......2............2.3.1...4...5....6.5.4...........7........ ...................1......2......34....1.2......5.......4.3.6.........7.......... ...................1......2......34....2.1......5.......4.3.6.........7.......... ...................1..2..3.....1......4.....5....3......6...7...........5.......6 .................1.....2.........34.......5...6..71.....4...............3.......2 .................1....2...3.........4.......2...5.......6...75.....3...........6. .................1..1............23.......4....5..6...........7.2.4.............5 .................1..1.....2...........3.....4...5..........2....6....5........67. .................1..1.....2...........3.....4...5.........3.67.4...............5. .................1..1.....2......34.......5......26.............4.3.............7 .................1..2...........3............4..5.........6........21...7.....54. .................1..2...........3.....4.....5...6.........15....7....6.........3. .................1..2.....3................4....5...6......3..7.....1...6......5. .................1..2.....3....4..........25.....6.7..6.......4............7..... .................1..2..3................4.2.....5.....31......6........5..7...... .................1.2......3..........3.1.2.........4....5.4.6...........7........ .................1.2....3.....4...............5...........6....4.1.....7....32... .................1.23.........4............5......6...........71.....2....4.5.... .................12.......3.......4.......56..1.........6......3.......74........ .................12.....3.......4....5.......6..2......1..........6......7......5 .................12....3...3....2...........4...5....................6...14.....7 ................1......2.....3....................4...25....6.....13.....6.7..... ................1......2.....3...........45.......5....4....6......3.......17.... ................1......2...3.............4..5.....6......17........3......5.....2 ................1...2................3.....45.....6...2.7........6..........4..3. ................1...2............3........4.5...6.....5...3........2..7........6. ................1...2...........3......4.5....2.....61...7.......5...4........... ................1...2...3......4.................5.6...4.....57...3........6..... ................1...2...3......4.......5.6.....1...7...4......5..............3... ................1...2..3...4........15............6...........4..6.....7..3...... ................1...2.3..............24....5.....6.............6.7.....3...1..... ................1...2.3.4........3.....5.6........7....6......5....1............. ................1..2...........23.....4....5.....6.....6............437.......... ................1..2......3...........4.5.......6......3......2....1..4..7....... ................1.2....3.............1..4..5..........6...5....7.....3.2......... ................1.23.................4..5..6.......7..7................2....6..3. ...............1......2..............3..........4.5..........431.5.6...........7. ...............1......2..........3....4.5.....6....7..............3.1..........52 ...............1....2.....3...................4.5.........6........23...7.....45. ...............1...2...3........4.2.5.1......6..............6...7........3....... ...............1..2...34......5...........................6..27..8.......15...... ...............1.234............................5...4....4...56..7........2...... ..............1.....2....3......4.....................5..32.....6....7.4....8.... ..............1....2.....3.......2..4..............5.1.......4..5..............67 .............1.....2.....34.............5.1....6............7..4.........3....6.. ..........1......2..3.....4........1.........5..6............7......26.........5. ........1......2....2...3............4.5...........6..5.......4....6...........7. ........1.....2....3....4.........................5...2........6.5..........7.34. .......1.........2........3....................45.....12...6.........4.5......7..

The first of yours is number 48 and the second is number 3. Only four Almosts have 8 different digits in the clues. Numbers 11, 15, 59 & 61.

Cheers, Leren

by **m_b_metcalf** » Mon Nov 25, 2024 7:38 pm

Leren,
Thanks for that interesting post. I took a closer look at your numbers 11, 15, 59 & 61, which have 8 distinct clue values. The first one has only 4 clues that can't be solved: it contains a U4 at r6c13 and r8c13. Adding a correct clue at the appropriate location in turn, see below, yields 4 valid 12-clue puzzles, the second 2 of which I find in yoour huge file. I can't tell whether the first 2 are new or aleady known.

A similar exercise can be performed on the other 3 pseudo-puzzles.

Code: Select all: ....................1...2.............3...4......56...57..........2..8...6....... Your 11

Code: Select all: . . . . . . . . . . . . . . . . . . . . 1 . . . 2 . . . . . . . . . . . . . 3 . . . 4 . . 9 . * . 5 6 . . . 5 7 . . . . . . . * . * 2 . . 8 . . . 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 . . . 2 . . . . . . . . . . . . . 3 . . . 4 . . * . 4 . 5 6 . . . 5 7 . . . . . . . * . * 2 . . 8 . . . 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 . . . 2 . . . . . . . . . . . . . 3 . . . 4 . . * . * . 5 6 . . . 5 7 . . . . . . . 4 . * 2 . . 8 . . . 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 . . . 2 . . . . . . . . . . . . . 3 . . . 4 . . * . * . 5 6 . . . 5 7 . . . . . . . * . 9 2 . . 8 . . . 6 . . . . . . .

Code: Select all: ....................1...2.............3...4..5...67...68..........2..9...7....... 1 (renumbered) ....................1...2.............3...4....4.56...57..........2..8...6....... 2 ....................1...2.............3...4......56...57.......4..2..8...6....... 3 ....................1...2.............3...4......56...57.........82..9...6....... 4 (renumbered)

Regards,

Mike

by **Leren** » Tue Nov 26, 2024 3:30 am

The results from Almost number 11 indicate the following :

Code: Select all: 246981735857423961391567248715834629683192457429756183578649312934215876162378594 Solution 1 246981735857423961391567248715834629683192457924756183578649312439215876162378594 Solution 2 111111111222222222333333333444444444555555555666666666777777777888888888999999999 Row 123456789123456789123456789123456789123456789123456789123456789123456789123456789 Column *********************************************4*4***************4*4*************** *********************************************9*9***************9*9***************

There is a hitset in the 4 indicated cells on 2 digits 4 and 9. Putting any of these in place will produce a unique solution (one of the indicated solutions).

Code: Select all: ....................1...2.............3...4..4...56...57..........2..8...6....... ....................1...2.............3...4..9...56...57..........2..8...6....... ....................1...2.............3...4....4.56...57..........2..8...6....... ....................1...2.............3...4....9.56...57..........2..8...6....... ....................1...2.............3...4......56...57.......4..2..8...6....... ....................1...2.............3...4......56...57.......9..2..8...6....... ....................1...2.............3...4......56...57.........42..8...6....... ....................1...2.............3...4......56...57.........92..8...6.......

Minlexed version of these :

Code: Select all: ....................1...2.............3...4.....56...3.......76..8..1..........5. ....................1...2.............3...4.....56...7.......86..9..1..........5. ....................1...2.............3...4.....56.3.........67........5..8..1... ....................1...2.............3...4.....56.7.........68........5..9..1... ....................1...2.............3...4......56...57.......4..2..8...6....... ....................1...2.............3...4......56...57.......8..2..9...6....... ....................1...2.............3...4......56...57.........42..8...6....... ....................1...2.............3...4......56...57.........82..9...6.......

These 8 minlexed puzzles are all in the list.

The results for Almost number 1 (seven different digits in the clueset) are similar but more complex.

Code: Select all: 543217689718659423692483751854761392267938145931524876126875934389142567475396218 Solution 1 543217698719658423682493751954761382267839145831524976126975834398142567475386219 Solution 2 111111111222222222333333333444444444555555555666666666777777777888888888999999999 Row 123456789123456789123456789123456789123456789123456789123456789123456789123456789 Column *******88**8**8****8**8****8******8****8*8***8*****8*****8**8***88**********8***8 *******99**9**9****9**9****9******9****9*9***9*****9*****9**9***99**********9***9

There is an 18 cell hitset on 2 digits 8 and 9. This might suggest that 36 ED puzzles might arise. However, putting 8 or 9 in each cell will result in two puzzles with the same minlex form, so 18 puzzles will be in the list.

Leren

by **m_b_metcalf** » Tue Nov 26, 2024 4:13 pm

Leren wrote:These 8 minlexed puzzles are all in the list.

Leren,
Yes, in my rush I overlooked the other four. It looks as though you have this well wrapped up, but I'd nevertheless like to try my luck with a final batch of 13 12--clue puzzles that I found:

Code: Select all: ..1...........1.....2....3......4.....................5..32.....6....7.4....8.... 1 ....................1.2...3..4.........4........5.........3.........6.3.78....45. 2 ....................1.2...3..4.........5........4.........3.........6...78....54. 3 ....................1.2...3............4.......56.........3........67...58....46. 4 ....................1.2...3............4.......45.........3........56...78....45. 5 ....................1.2...3........4...5........4.........3........46...78....54. 6 ....................1.2...3........4...4........5.........3........56...78....45. 7 ....................1.2...3............4....5...5.........3........56...78....45. 8 ....................1.2...3............4....5...6.........3........67...58....46. 9 ....................1.2...3............4........5....4....3........56...78....45. 10 ....................1.2...3............4........5....6....3........57...68....45. 11 ....1.........2.....3....4......5.....................6..43.....7....1.5....8.... 12 .......1......1.....2....3......4.....................5..32.....6....7.4....8.... 13

Thanks,

Mike

by **Leren** » Tue Nov 26, 2024 11:49 pm

Hi Mike,

All except four of your puzzles have 13 clues. The minlexed 12 clue puzzles are in the list.

Leren

by **m_b_metcalf** » Wed Nov 27, 2024 7:45 am

Leren wrote:All except four of your puzzles have 13 clues. The minlexed 12 clue puzzles are in the list.

Whoops, my bad. Thanks.

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